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12942081120 = 253526962669
BaseRepresentation
bin11000000110110100…
…00111110001100000
31020101221210211200210
430003122013301200
5203001133043440
65540121414120
7635500605633
oct140332076140
936357724623
1012942081120
115541516111
12261233a340
1312b33a3087
148aabadc1a
1550b310a80
hex303687c60

12942081120 has 48 divisors (see below), whose sum is σ = 40767557040. Its totient is φ = 3451221504.

The previous prime is 12942081109. The next prime is 12942081127. The reversal of 12942081120 is 2118024921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12942081127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13480855 + ... + 13481814.

It is an arithmetic number, because the mean of its divisors is an integer number (849324105).

Almost surely, 212942081120 is an apocalyptic number.

12942081120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12942081120 is an abundant number, since it is smaller than the sum of its proper divisors (27825475920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12942081120 is a wasteful number, since it uses less digits than its factorization.

12942081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26962687 (or 26962679 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 12942081120 in words is "twelve billion, nine hundred forty-two million, eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26962669 53925338 80888007 107850676 134813345 161776014 215701352 269626690 323552028 404440035 431402704 539253380 647104056 808880070 862805408 1078506760 1294208112 1617760140 2157013520 2588416224 3235520280 4314027040 6471040560 12942081120